(2 points) Prove that ( q ^ ( p -q ) ) equivalence and the laws of logic. 8, p is a tautology using propositional 9 (2 points) Construct a combinatorial circuit using inverters, OR gates, and AND gates, that produces the following outputs from input bits p, q and r 10. (1 point) On the island of knights and knaves you encounter two people A and B. Knights always tell the truth and their opposites, knaves always lie. Person A says, "B is a knave" and Person 8 says, "At least one of us is a knight. Determine whether each person is a knight or a knave. 11. (2 points) Determine whether the following compound proposition is satisfiable